In this problem we use the change of variables r = 3s + t, y = s - 2t to compute the integral SR(x + y) dA, where R is the parallelogram with vertices (x, y) = (0,0), (3, 1), (5, -3), and (2, -4). First find the magnitude of the Jacobian, (z,y) (s,t) Then, with a = b = c = and d = Sp(z + y) dA = S* S" ( ) dt ds = s+ t+

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In this problem we use the change of variables x = 3s +t, y = s – 2t to compute the integral SR(x + y) dA, where R is the parallelogram with
vertices (x, y) = (0,0), (3, 1), (5, -3), and (2, -4).
a(x,y)
a(s,t)
First find the magnitude of the Jacobian,
Then, with a =
b =
c =
, and d =
s+
出 t+
H ) dt ds =
%3D
Transcribed Image Text:In this problem we use the change of variables x = 3s +t, y = s – 2t to compute the integral SR(x + y) dA, where R is the parallelogram with vertices (x, y) = (0,0), (3, 1), (5, -3), and (2, -4). a(x,y) a(s,t) First find the magnitude of the Jacobian, Then, with a = b = c = , and d = s+ 出 t+ H ) dt ds = %3D
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